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10055440044 = 22321329373331
BaseRepresentation
bin10010101110101100…
…11101011010101100
3221221210002021120100
421113112131122230
5131043143040134
64341442551100
7504116554506
oct112726353254
927853067510
1010055440044
1142a0040a31
121b47668490
13c4332ba30
146b5674d76
153dcbae999
hex25759d6ac

10055440044 has 72 divisors (see below), whose sum is σ = 27466940592. Its totient is φ = 3083379840.

The previous prime is 10055439991. The next prime is 10055440067. The reversal of 10055440044 is 44004455001.

10055440044 is a `hidden beast` number, since 100 + 554 + 4 + 0 + 0 + 4 + 4 = 666.

It is a super-4 number, since 4×100554400444 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100459 + ... + 173789.

It is an arithmetic number, because the mean of its divisors is an integer number (381485286).

Almost surely, 210055440044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10055440044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13733470296).

10055440044 is an abundant number, since it is smaller than the sum of its proper divisors (17411500548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10055440044 is a wasteful number, since it uses less digits than its factorization.

10055440044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73647 (or 73642 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 10055440044 its reverse (44004455001), we get a palindrome (54059895045).

The spelling of 10055440044 in words is "ten billion, fifty-five million, four hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 293 468 586 879 1172 1758 2637 3516 3809 5274 7618 10548 11427 15236 22854 34281 45708 68562 73331 137124 146662 219993 293324 439986 659979 879972 953303 1319958 1906606 2639916 2859909 3813212 5719818 8579727 11439636 17159454 21485983 34318908 42971966 64457949 85943932 128915898 193373847 257831796 279317779 386747694 558635558 773495388 837953337 1117271116 1675906674 2513860011 3351813348 5027720022 10055440044